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Finding the Fourth Proportional to 647.26, 893.37 and 461.77

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Solution

The fourth proportional to 647.26, 893.37 and 461.77 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.26 : 893.37 = 461.77 : x
  2. Step 2: Convert to fraction form
    647.26/893.37 = 461.77/x
  3. Step 3: Cross multiply
    647.26x = 893.37 × 461.77
  4. Step 4: Simplify right side
    647.26x = 412,531.46
  5. Step 5: Solve for x
    x = 412,531.46/647.26
  6. Step 6: Final answer
    x = 637.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.